Russell Brand to Katy PerryYou Can Have the House

4/3/2012 12:40 AM PDT

Russell Brand to Katy Perry -- You Can Have the House

Russell Brand is one step closer to severing all ties with Katy Perry -- because he's surrendered his interest in the house they bought together while they were happily married -- if they were ever really happily married.

TMZ got hold of a quitclaim deed that Russell filed in L.A. ... giving Katy all rights to the $6.5 million house -- lock, stock and barrel.

Sources tell us ... it's all part of the property settlement agreement between Russell and Katy.

It's further proof of what Russell said -- that he doesn't want a penny of Katy's money and wants the split to go as amicably as possible ... so far, so good.